The sum of two numbers is 10. twice the first number is 4 more than twice the second. what are the two numbers?
1 answer:
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If is a polynomial, then the zeros of
are the values of
that satisfy
.
So for (1), the zeros of are the solutions to
You can think of the multiplicity of each root as the number of times a root satisfies this equation. In this case, the multiplicity of each root is 1, because there is only one factor of or
or
.
For (2), the zeros of are the solutions to
and the multiplicity of the zero is 2 because there are two factors of
in
. The multiplicity of the other roots would be 1.